471520 has 48 divisors (see below), whose sum is σ = 1276128. Its totient is φ = 161280.

The previous prime is 471509. The next prime is 471521. The reversal of 471520 is 25174.

It is a super-2 number, since 2×471520² = 444662220800, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471521) by changing a digit.

471520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 910 + ... + 1330.

It is an arithmetic number, because the mean of its divisors is an integer number (26586).

2⁴⁷¹⁵²⁰ is an apocalyptic number.

471520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638064).

471520 is an abundant number, since it is smaller than the sum of its proper divisors (804608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

471520 is a wasteful number, since it uses less digits than its factorization.

471520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 471520 is about 686.6731391281. The cubic root of 471520 is about 77.8335261695.

Adding to 471520 its reverse (25174), we get a palindrome (496694).

The spelling of 471520 in words is "four hundred seventy-one thousand, five hundred twenty".